Bells

greatwhiteshark

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May 8, 2005
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A bell rings every 2 hours, a second bell rings every 3 hours, and a third bell rings every 4 hours. If all 3 bells ring at 9:00 AM., at what time will all 3 bells next ring?
 
Hello, greatwhiteshark!

A bell rings every 2 hours, a second bell rings every 3 hours, and a third bell rings every 4 hours.
If all 3 bells ring at 9:00 AM, at what time will all 3 bells next ring?
To baby-talk through Denis' hint:

Bell 1: .9a, 11a, 1p, 3p, 5p, 7p, 9p, 11p, 1a, 3a, 5a, 7a, 9a, . . .
Bell 2: .9a, 12n, 3p, 6p, 9p, 12m, 3a, 6a, 9a, . . .
Bell 3: .9a, 1p, 5p, 9p, 1a, 5a, 9a, . . .


The short method:
. . The Least Common Multiple of 2, 3, 4 is <u>12</u>.
. . The bells will ring together every 12 hours.
 
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